Find the stability of the closed loop discrete system- Y(z) R(z) = Transfer function of the closed loop discrete system - G(z) 1+G(z) Where, G(z)=z{1-e- =z{¹-6²¹h × 4₂2 } S+ G(z)=(1 (1-z-¹) G(z)=2(1-e-27) (z-e-2T) For T=1 Sec G(z)= G(z)= 2(1-e-²) (z-e-2) 1.729 Z-0.135 Characteristic equation - 1+ G(z)=0 so, z + 1.594-0 22 (1-e-²T) (z-1)(z-e-2T) then z=-1.594 How were these values found? This is root of the characteristics equation, which is outside the unit circle. Then the system is unstable.

Find the stability of the closed loop discrete system- Y(z) R(z) = Transfer function of the closed loop discrete system - G(z) 1+G(z) Where, G(z)=z{1-e- =z{¹-6²¹h × 4₂2 } S+ G(z)=(1 (1-z-¹) G(z)=2(1-e-27) (z-e-2T) For T=1 Sec G(z)= G(z)= 2(1-e-²) (z-e-2) 1.729 Z-0.135 Characteristic equation - 1+ G(z)=0 so, z + 1.594-0 22 (1-e-²T) (z-1)(z-e-2T) then z=-1.594 How were these values found? This is root of the characteristics equation, which is outside the unit circle. Then the system is unstable.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.27P

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